Question

What is the least common denominator of 3/4, 4/5, 2/3? A. 12 B. 15 C. 60 D. 20

Answer 1

The least common denominator of 3/4, 4/5, and 2/3 can be found by finding the least common multiple of 4, 5, and 3.

List the multiples:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66

The least common denominator of 3/4, 4/5, and 2/3 is C. 60.